Question

lim(x->+∞)[((1+1/x)^x)/e]^x 不懂哪错了？

知道正确答案但是不知道自己哪错了。。
晕乎乎的谢谢解答

Answer 1

拆分的前提是 极限都存在 很明显第一个是e^（∞*0）极限不存在

Answer 2

lim (x²+x-2)/(x³-x²+x-1)
x→-1
=lim (x-1)(x+2)/[x²(x-1)+(x-1)]
x→-1
=lim (x-1)(x+2)/[(x-1)(x²+1)]
x→-1
=lim (x+2)/(x²+1)
x→-1
=(-1+2)/[(-1)²+1]
=½
lim (x²+x-2)/(x³-x²+x-1)
x→1
=lim (x-1)(x+2)/[x²(x-1)+(x-1)]
x→1
=lim (x-1)(x+2)/[(x-1)(x²+1)]
x→1
=lim (x+2)/(x²+1)
x→1
=(1+2)/(1²+1)
=3/2